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Finding the Fourth Proportional to 5,488.29, 8,233.65 and 2,565

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Solution

The fourth proportional to 5,488.29, 8,233.65 and 2,565 is: 3,848.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.29 : 8,233.65 = 2,565 : x
  2. Step 2: Convert to fraction form
    5,488.29/8,233.65 = 2,565/x
  3. Step 3: Cross multiply
    5,488.29x = 8,233.65 × 2,565
  4. Step 4: Simplify right side
    5,488.29x = 21,119,312.25
  5. Step 5: Solve for x
    x = 21,119,312.25/5,488.29
  6. Step 6: Final answer
    x = 3,848.07

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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.