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Finding the Fourth Proportional to 4,897.65, 6,758.60 and 2,659.48

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Solution

The fourth proportional to 4,897.65, 6,758.60 and 2,659.48 is: 3,670.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.65 : 6,758.60 = 2,659.48 : x
  2. Step 2: Convert to fraction form
    4,897.65/6,758.60 = 2,659.48/x
  3. Step 3: Cross multiply
    4,897.65x = 6,758.60 × 2,659.48
  4. Step 4: Simplify right side
    4,897.65x = 17,974,368.18
  5. Step 5: Solve for x
    x = 17,974,368.18/4,897.65
  6. Step 6: Final answer
    x = 3,670.00

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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.