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Finding the Fourth Proportional to 4,307.60, 6,457.62 and 1,708.76

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Solution

The fourth proportional to 4,307.60, 6,457.62 and 1,708.76 is: 2,561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.60 : 6,457.62 = 1,708.76 : x
  2. Step 2: Convert to fraction form
    4,307.60/6,457.62 = 1,708.76/x
  3. Step 3: Cross multiply
    4,307.60x = 6,457.62 × 1,708.76
  4. Step 4: Simplify right side
    4,307.60x = 11,034,522.75
  5. Step 5: Solve for x
    x = 11,034,522.75/4,307.60
  6. Step 6: Final answer
    x = 2,561.64

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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.