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Finding the Fourth Proportional to 4,707.32, 7,062.30 and 2,364.50

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Solution

The fourth proportional to 4,707.32, 7,062.30 and 2,364.50 is: 3,547.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.32 : 7,062.30 = 2,364.50 : x
  2. Step 2: Convert to fraction form
    4,707.32/7,062.30 = 2,364.50/x
  3. Step 3: Cross multiply
    4,707.32x = 7,062.30 × 2,364.50
  4. Step 4: Simplify right side
    4,707.32x = 16,698,808.35
  5. Step 5: Solve for x
    x = 16,698,808.35/4,707.32
  6. Step 6: Final answer
    x = 3,547.41

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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.