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Finding the Fourth Proportional to 4,394.66, 6,590.70 and 1,762.16

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Solution

The fourth proportional to 4,394.66, 6,590.70 and 1,762.16 is: 2,642.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,394.66 : 6,590.70 = 1,762.16 : x
  2. Step 2: Convert to fraction form
    4,394.66/6,590.70 = 1,762.16/x
  3. Step 3: Cross multiply
    4,394.66x = 6,590.70 × 1,762.16
  4. Step 4: Simplify right side
    4,394.66x = 11,613,867.91
  5. Step 5: Solve for x
    x = 11,613,867.91/4,394.66
  6. Step 6: Final answer
    x = 2,642.72

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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.