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Finding the Fourth Proportional to 4,690.72, 7,030.64 and 1,767.16

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Solution

The fourth proportional to 4,690.72, 7,030.64 and 1,767.16 is: 2,648.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.72 : 7,030.64 = 1,767.16 : x
  2. Step 2: Convert to fraction form
    4,690.72/7,030.64 = 1,767.16/x
  3. Step 3: Cross multiply
    4,690.72x = 7,030.64 × 1,767.16
  4. Step 4: Simplify right side
    4,690.72x = 12,424,265.78
  5. Step 5: Solve for x
    x = 12,424,265.78/4,690.72
  6. Step 6: Final answer
    x = 2,648.69

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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.