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Finding the Fourth Proportional to 4,693.95, 6,480 and 2,926.53

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Solution

The fourth proportional to 4,693.95, 6,480 and 2,926.53 is: 4,040.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.95 : 6,480 = 2,926.53 : x
  2. Step 2: Convert to fraction form
    4,693.95/6,480 = 2,926.53/x
  3. Step 3: Cross multiply
    4,693.95x = 6,480 × 2,926.53
  4. Step 4: Simplify right side
    4,693.95x = 18,963,914.40
  5. Step 5: Solve for x
    x = 18,963,914.40/4,693.95
  6. Step 6: Final answer
    x = 4,040.08

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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.