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Finding the Fourth Proportional to 5,128.92, 7,699.68 and 4,870.68

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Solution

The fourth proportional to 5,128.92, 7,699.68 and 4,870.68 is: 7,312.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.92 : 7,699.68 = 4,870.68 : x
  2. Step 2: Convert to fraction form
    5,128.92/7,699.68 = 4,870.68/x
  3. Step 3: Cross multiply
    5,128.92x = 7,699.68 × 4,870.68
  4. Step 4: Simplify right side
    5,128.92x = 37,502,677.38
  5. Step 5: Solve for x
    x = 37,502,677.38/5,128.92
  6. Step 6: Final answer
    x = 7,312.00

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