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Finding the Fourth Proportional to 4,402.76, 6,075.61 and 2,413.40

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Solution

The fourth proportional to 4,402.76, 6,075.61 and 2,413.40 is: 3,330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402.76 : 6,075.61 = 2,413.40 : x
  2. Step 2: Convert to fraction form
    4,402.76/6,075.61 = 2,413.40/x
  3. Step 3: Cross multiply
    4,402.76x = 6,075.61 × 2,413.40
  4. Step 4: Simplify right side
    4,402.76x = 14,662,840.76
  5. Step 5: Solve for x
    x = 14,662,840.76/4,402.76
  6. Step 6: Final answer
    x = 3,330.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.