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Finding the Fourth Proportional to 4,726.90, 6,509.05 and 4,622.00

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Solution

The fourth proportional to 4,726.90, 6,509.05 and 4,622.00 is: 6,364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.90 : 6,509.05 = 4,622.00 : x
  2. Step 2: Convert to fraction form
    4,726.90/6,509.05 = 4,622.00/x
  3. Step 3: Cross multiply
    4,726.90x = 6,509.05 × 4,622.00
  4. Step 4: Simplify right side
    4,726.90x = 30,084,836.18
  5. Step 5: Solve for x
    x = 30,084,836.18/4,726.90
  6. Step 6: Final answer
    x = 6,364.61

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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.