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Finding the Fourth Proportional to 4,570.92, 6,298.47 and 3,508.62

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Solution

The fourth proportional to 4,570.92, 6,298.47 and 3,508.62 is: 4,834.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.92 : 6,298.47 = 3,508.62 : x
  2. Step 2: Convert to fraction form
    4,570.92/6,298.47 = 3,508.62/x
  3. Step 3: Cross multiply
    4,570.92x = 6,298.47 × 3,508.62
  4. Step 4: Simplify right side
    4,570.92x = 22,098,937.81
  5. Step 5: Solve for x
    x = 22,098,937.81/4,570.92
  6. Step 6: Final answer
    x = 4,834.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.