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Finding the Fourth Proportional to 5,189.06, 7,780.59 and 3,547.59

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Solution

The fourth proportional to 5,189.06, 7,780.59 and 3,547.59 is: 5,319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.06 : 7,780.59 = 3,547.59 : x
  2. Step 2: Convert to fraction form
    5,189.06/7,780.59 = 3,547.59/x
  3. Step 3: Cross multiply
    5,189.06x = 7,780.59 × 3,547.59
  4. Step 4: Simplify right side
    5,189.06x = 27,602,343.28
  5. Step 5: Solve for x
    x = 27,602,343.28/5,189.06
  6. Step 6: Final answer
    x = 5,319.34

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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.