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Finding the Fourth Proportional to 4,656.64, 6,985.05 and 2,024.15

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Solution

The fourth proportional to 4,656.64, 6,985.05 and 2,024.15 is: 3,036.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.64 : 6,985.05 = 2,024.15 : x
  2. Step 2: Convert to fraction form
    4,656.64/6,985.05 = 2,024.15/x
  3. Step 3: Cross multiply
    4,656.64x = 6,985.05 × 2,024.15
  4. Step 4: Simplify right side
    4,656.64x = 14,138,778.84
  5. Step 5: Solve for x
    x = 14,138,778.84/4,656.64
  6. Step 6: Final answer
    x = 3,036.26

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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.