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Finding the Fourth Proportional to 4,210.95, 6,303.09 and 2,356.46

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Solution

The fourth proportional to 4,210.95, 6,303.09 and 2,356.46 is: 3,527.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.95 : 6,303.09 = 2,356.46 : x
  2. Step 2: Convert to fraction form
    4,210.95/6,303.09 = 2,356.46/x
  3. Step 3: Cross multiply
    4,210.95x = 6,303.09 × 2,356.46
  4. Step 4: Simplify right side
    4,210.95x = 14,852,979.46
  5. Step 5: Solve for x
    x = 14,852,979.46/4,210.95
  6. Step 6: Final answer
    x = 3,527.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.