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Finding the Fourth Proportional to 5,307.60, 7,323.14 and 3,538.02

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Solution

The fourth proportional to 5,307.60, 7,323.14 and 3,538.02 is: 4,881.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.60 : 7,323.14 = 3,538.02 : x
  2. Step 2: Convert to fraction form
    5,307.60/7,323.14 = 3,538.02/x
  3. Step 3: Cross multiply
    5,307.60x = 7,323.14 × 3,538.02
  4. Step 4: Simplify right side
    5,307.60x = 25,909,415.78
  5. Step 5: Solve for x
    x = 25,909,415.78/5,307.60
  6. Step 6: Final answer
    x = 4,881.57

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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.