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Finding the Fourth Proportional to 4,595.72, 6,899.70 and 2,406.20

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Solution

The fourth proportional to 4,595.72, 6,899.70 and 2,406.20 is: 3,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,595.72 : 6,899.70 = 2,406.20 : x
  2. Step 2: Convert to fraction form
    4,595.72/6,899.70 = 2,406.20/x
  3. Step 3: Cross multiply
    4,595.72x = 6,899.70 × 2,406.20
  4. Step 4: Simplify right side
    4,595.72x = 16,602,058.14
  5. Step 5: Solve for x
    x = 16,602,058.14/4,595.72
  6. Step 6: Final answer
    x = 3,612.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.