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Finding the Fourth Proportional to 5,117.70, 7,668.35 and 4,625.63

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Solution

The fourth proportional to 5,117.70, 7,668.35 and 4,625.63 is: 6,931.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.70 : 7,668.35 = 4,625.63 : x
  2. Step 2: Convert to fraction form
    5,117.70/7,668.35 = 4,625.63/x
  3. Step 3: Cross multiply
    5,117.70x = 7,668.35 × 4,625.63
  4. Step 4: Simplify right side
    5,117.70x = 35,470,888.34
  5. Step 5: Solve for x
    x = 35,470,888.34/5,117.70
  6. Step 6: Final answer
    x = 6,931.02

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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.