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Finding the Fourth Proportional to 4,888.46, 6,746.08 and 2,900

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Solution

The fourth proportional to 4,888.46, 6,746.08 and 2,900 is: 4,002.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,888.46 : 6,746.08 = 2,900 : x
  2. Step 2: Convert to fraction form
    4,888.46/6,746.08 = 2,900/x
  3. Step 3: Cross multiply
    4,888.46x = 6,746.08 × 2,900
  4. Step 4: Simplify right side
    4,888.46x = 19,563,632
  5. Step 5: Solve for x
    x = 19,563,632/4,888.46
  6. Step 6: Final answer
    x = 4,002.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.