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Finding the Fourth Proportional to 4,735.58, 7,106.52 and 1,657.58

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Solution

The fourth proportional to 4,735.58, 7,106.52 and 1,657.58 is: 2,487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.58 : 7,106.52 = 1,657.58 : x
  2. Step 2: Convert to fraction form
    4,735.58/7,106.52 = 1,657.58/x
  3. Step 3: Cross multiply
    4,735.58x = 7,106.52 × 1,657.58
  4. Step 4: Simplify right side
    4,735.58x = 11,779,625.42
  5. Step 5: Solve for x
    x = 11,779,625.42/4,735.58
  6. Step 6: Final answer
    x = 2,487.47

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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.