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Finding the Fourth Proportional to 4,165.42, 5,748.44 and 2,397.02

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Solution

The fourth proportional to 4,165.42, 5,748.44 and 2,397.02 is: 3,307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.42 : 5,748.44 = 2,397.02 : x
  2. Step 2: Convert to fraction form
    4,165.42/5,748.44 = 2,397.02/x
  3. Step 3: Cross multiply
    4,165.42x = 5,748.44 × 2,397.02
  4. Step 4: Simplify right side
    4,165.42x = 13,779,125.65
  5. Step 5: Solve for x
    x = 13,779,125.65/4,165.42
  6. Step 6: Final answer
    x = 3,307.98

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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.