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Finding the Fourth Proportional to 5,235.66, 7,854.84 and 1,538.01

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Solution

The fourth proportional to 5,235.66, 7,854.84 and 1,538.01 is: 2,307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.66 : 7,854.84 = 1,538.01 : x
  2. Step 2: Convert to fraction form
    5,235.66/7,854.84 = 1,538.01/x
  3. Step 3: Cross multiply
    5,235.66x = 7,854.84 × 1,538.01
  4. Step 4: Simplify right side
    5,235.66x = 12,080,822.47
  5. Step 5: Solve for x
    x = 12,080,822.47/5,235.66
  6. Step 6: Final answer
    x = 2,307.41

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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.