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Finding the Fourth Proportional to 5,632.42, 7,774.92 and 5,041.93

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Solution

The fourth proportional to 5,632.42, 7,774.92 and 5,041.93 is: 6,959.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.42 : 7,774.92 = 5,041.93 : x
  2. Step 2: Convert to fraction form
    5,632.42/7,774.92 = 5,041.93/x
  3. Step 3: Cross multiply
    5,632.42x = 7,774.92 × 5,041.93
  4. Step 4: Simplify right side
    5,632.42x = 39,200,602.40
  5. Step 5: Solve for x
    x = 39,200,602.40/5,632.42
  6. Step 6: Final answer
    x = 6,959.82

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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.