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Finding the Fourth Proportional to 4,695.92, 7,085.18 and 4,657.04

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Solution

The fourth proportional to 4,695.92, 7,085.18 and 4,657.04 is: 7,026.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.92 : 7,085.18 = 4,657.04 : x
  2. Step 2: Convert to fraction form
    4,695.92/7,085.18 = 4,657.04/x
  3. Step 3: Cross multiply
    4,695.92x = 7,085.18 × 4,657.04
  4. Step 4: Simplify right side
    4,695.92x = 32,995,966.67
  5. Step 5: Solve for x
    x = 32,995,966.67/4,695.92
  6. Step 6: Final answer
    x = 7,026.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.