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Finding the Fourth Proportional to 4,585.86, 6,326.06 and 2,904.30

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Solution

The fourth proportional to 4,585.86, 6,326.06 and 2,904.30 is: 4,006.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585.86 : 6,326.06 = 2,904.30 : x
  2. Step 2: Convert to fraction form
    4,585.86/6,326.06 = 2,904.30/x
  3. Step 3: Cross multiply
    4,585.86x = 6,326.06 × 2,904.30
  4. Step 4: Simplify right side
    4,585.86x = 18,372,776.06
  5. Step 5: Solve for x
    x = 18,372,776.06/4,585.86
  6. Step 6: Final answer
    x = 4,006.40

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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.