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Finding the Fourth Proportional to 4,538.40, 6,805.04 and 1,575.46

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Solution

The fourth proportional to 4,538.40, 6,805.04 and 1,575.46 is: 2,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.40 : 6,805.04 = 1,575.46 : x
  2. Step 2: Convert to fraction form
    4,538.40/6,805.04 = 1,575.46/x
  3. Step 3: Cross multiply
    4,538.40x = 6,805.04 × 1,575.46
  4. Step 4: Simplify right side
    4,538.40x = 10,721,068.32
  5. Step 5: Solve for x
    x = 10,721,068.32/4,538.40
  6. Step 6: Final answer
    x = 2,362.30

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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.