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Finding the Fourth Proportional to 5,547.85, 7,657.32 and 3,659.77

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Solution

The fourth proportional to 5,547.85, 7,657.32 and 3,659.77 is: 5,051.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.85 : 7,657.32 = 3,659.77 : x
  2. Step 2: Convert to fraction form
    5,547.85/7,657.32 = 3,659.77/x
  3. Step 3: Cross multiply
    5,547.85x = 7,657.32 × 3,659.77
  4. Step 4: Simplify right side
    5,547.85x = 28,024,030.02
  5. Step 5: Solve for x
    x = 28,024,030.02/5,547.85
  6. Step 6: Final answer
    x = 5,051.33

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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.