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Finding the Fourth Proportional to 5,498.55, 7,587.90 and 3,140.64

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Solution

The fourth proportional to 5,498.55, 7,587.90 and 3,140.64 is: 4,334.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.55 : 7,587.90 = 3,140.64 : x
  2. Step 2: Convert to fraction form
    5,498.55/7,587.90 = 3,140.64/x
  3. Step 3: Cross multiply
    5,498.55x = 7,587.90 × 3,140.64
  4. Step 4: Simplify right side
    5,498.55x = 23,830,862.26
  5. Step 5: Solve for x
    x = 23,830,862.26/5,498.55
  6. Step 6: Final answer
    x = 4,334.03

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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.