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Finding the Fourth Proportional to 3,116.01, 4,673.23 and 924.23

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Solution

The fourth proportional to 3,116.01, 4,673.23 and 924.23 is: 1,386.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.01 : 4,673.23 = 924.23 : x
  2. Step 2: Convert to fraction form
    3,116.01/4,673.23 = 924.23/x
  3. Step 3: Cross multiply
    3,116.01x = 4,673.23 × 924.23
  4. Step 4: Simplify right side
    3,116.01x = 4,319,139.36
  5. Step 5: Solve for x
    x = 4,319,139.36/3,116.01
  6. Step 6: Final answer
    x = 1,386.11

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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.