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Finding the Fourth Proportional to 4,686.74, 7,030.87 and 1,765.26

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Solution

The fourth proportional to 4,686.74, 7,030.87 and 1,765.26 is: 2,648.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.74 : 7,030.87 = 1,765.26 : x
  2. Step 2: Convert to fraction form
    4,686.74/7,030.87 = 1,765.26/x
  3. Step 3: Cross multiply
    4,686.74x = 7,030.87 × 1,765.26
  4. Step 4: Simplify right side
    4,686.74x = 12,411,313.58
  5. Step 5: Solve for x
    x = 12,411,313.58/4,686.74
  6. Step 6: Final answer
    x = 2,648.18

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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.