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Finding the Fourth Proportional to 4,605.83, 6,356.06 and 2,509.95

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Solution

The fourth proportional to 4,605.83, 6,356.06 and 2,509.95 is: 3,463.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.83 : 6,356.06 = 2,509.95 : x
  2. Step 2: Convert to fraction form
    4,605.83/6,356.06 = 2,509.95/x
  3. Step 3: Cross multiply
    4,605.83x = 6,356.06 × 2,509.95
  4. Step 4: Simplify right side
    4,605.83x = 15,953,413.49
  5. Step 5: Solve for x
    x = 15,953,413.49/4,605.83
  6. Step 6: Final answer
    x = 3,463.74

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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.