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Finding the Fourth Proportional to 4,746.02, 7,118.49 and 1,283

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Solution

The fourth proportional to 4,746.02, 7,118.49 and 1,283 is: 1,924.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.02 : 7,118.49 = 1,283 : x
  2. Step 2: Convert to fraction form
    4,746.02/7,118.49 = 1,283/x
  3. Step 3: Cross multiply
    4,746.02x = 7,118.49 × 1,283
  4. Step 4: Simplify right side
    4,746.02x = 9,133,022.67
  5. Step 5: Solve for x
    x = 9,133,022.67/4,746.02
  6. Step 6: Final answer
    x = 1,924.35

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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.